2(y-8)=5(y+1)-15

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Solution for 2(y-8)=5(y+1)-15 equation: 


Simplifying
2(y + -8) = 5(y + 1) + -15

Reorder the terms:
2(-8 + y) = 5(y + 1) + -15
(-8 * 2 + y * 2) = 5(y + 1) + -15
(-16 + 2y) = 5(y + 1) + -15

Reorder the terms:
-16 + 2y = 5(1 + y) + -15
-16 + 2y = (1 * 5 + y * 5) + -15
-16 + 2y = (5 + 5y) + -15

Reorder the terms:
-16 + 2y = 5 + -15 + 5y

Combine like terms: 5 + -15 = -10
-16 + 2y = -10 + 5y

Solving
-16 + 2y = -10 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-16 + 2y + -5y = -10 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-16 + -3y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -3y = -10 + 0
-16 + -3y = -10

Add '16' to each side of the equation.
-16 + 16 + -3y = -10 + 16

Combine like terms: -16 + 16 = 0
0 + -3y = -10 + 16
-3y = -10 + 16

Combine like terms: -10 + 16 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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